Home / 428,032,864.02-590,699,893.01-408,419,701.77

Finding the Fourth Proportional to 428,032,864.02, 590,699,893.01 and 408,419,701.77

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Solution

The fourth proportional to 428,032,864.02, 590,699,893.01 and 408,419,701.77 is: 563,633,062.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,032,864.02 : 590,699,893.01 = 408,419,701.77 : x
  2. Step 2: Convert to fraction form
    428,032,864.02/590,699,893.01 = 408,419,701.77/x
  3. Step 3: Cross multiply
    428,032,864.02x = 590,699,893.01 × 408,419,701.77
  4. Step 4: Simplify right side
    428,032,864.02x = 241,253,474,138,888,128
  5. Step 5: Solve for x
    x = 241,253,474,138,888,128/428,032,864.02
  6. Step 6: Final answer
    x = 563,633,062.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.